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Ronch [10]
2 years ago
10

A mysterious flying superhero known as Blue Sky protects the good citizens of Allenville. Unknown to these citizens, Blue Sky is

actually mild-mannered Abdul, a scientist in a flying suit. Before Abdul can fly in the suit, he needs to charge its battery. There is a proportional relationship between the number of hours Abdul has charged his flying suit, x, and the number of hours he can fly, y.
If Abdul charged the suit for 1 hour, he can fly for 2 hours
Mathematics
1 answer:
RUDIKE [14]2 years ago
8 0

Here we want to find the proportional relationship between the number of hours that Abdul charges the suit and the number of hours that he can fly.

We will get the proportional relationship:

y = 2*x

where y is the number of hours that Abdul can fly and x is the number of hours that he charges the suit.

<h3>Proportional relationships:</h3>

A proportional relationship is a linear relationship of the form:

y = k*x

Where k is the constant of proportionality.

We can define:

  • x = number of hours that he charges the suit,
  • y = number of hours that he can fly.

Now we know that if Abdul charges the suit for 1 hour, he can fly for 2 hours, then we have the pair:

  • x = 1
  • y = 2

Replacing that in the proportional relationship we get:

2 = k*1

Now we can solve this for k:

2 = k*1

2/1 = k = 2

From this, we can conclude that the proportional relationship is:

y = 2*x

If you want to learn more about proportional relationships, you can read:

brainly.com/question/12242745

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Answer: Choice A) M = 0.25n + 100

=============================================================

Explanation:

For now, I'll treat n as x, and M as y.

In other words,

  • x = number of CDs
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Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

m = (y2-y1)/(x2-x1)

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Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

y = mx+b

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You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

------------------------------

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

M = 0.25*n + 100

M = 0.25*100 + 100

M = 25 + 100

M = 125

Which is confirmed by what the graph shows. I'll let you check the other points as well.

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